Geodesic
Special cases of the theory of multiple trigonometric sums
Izvestiya. Mathematics , Tome 23 (1984) no. 1, pp. 17-82

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Estimates are proved for multiple trigonometric sums and the mean value of such sums under the condition that the variables of summation are very different from one another. Bibliography: 5 titles. 
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     title = {Special cases of the theory of multiple trigonometric sums},
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G. I. Arkhipov; A. A. Karatsuba; V. N. Chubarikov. Special cases of the theory of multiple trigonometric sums. Izvestiya. Mathematics , Tome 23 (1984) no. 1, pp. 17-82. http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a1/